Key Features of Quadratics
Solving Quadratic Equations
Absolute Value
Exponential Functions
Factoring
100
What do you call the imaginary Line down the MIDDLE of a quadratic?
Axis of Symmetry
100
What is the Vertex?
(3, -2)
100
What is absolute value form?
(It's close to vertex form)
y=a|x-h|+k
100
What does "a" and "b" Mean?
y=a(b)^x
"a" is the y intercept or initial value
"b" is the growth or decay factor
100
b^2+8b+7
(b+1)(b+7)
200
What is the axis of symmetry of this quadratic?
y=-3x^2-24x-42
x=-b/(2a)
x=-4
200
Solve by Factoring! You should have two answers
x^2+6x-27=0
x=-9 and x=3
200
Consider the function below, what point is the vertex?
y=2|x+4|-5
(-4, -5)
200
How does you know if "b" is growth or decay? Explain both.
If b>1, it is growth
If 0<b<1, it is decay
200
m^2+2m-24
(m+6)(m-4)
300
What is the vertex of this equation?
y=-0.4(x-3)^2+42
(3, 42)
300
Solve by using Square Roots! You should have 2 answers.
x^2+7=88
x=9 and x=-9
300
The clearance below the Sunshine Skyway Bridge over Tampa Bay, Florida, is 180.5 feet (ft) above sea level. The water under the bridge can fluctuate up to 7 ft above or below the normal depth.The equation to find the amount of variation is 𝑦 = |𝑥 − 180.5|. What is the maximum and the minimum clearance between the bridge and the water?
(Max) x=187.5
(Min) x=173.5
300
Selena’s starting salary for new marketing management job is $32,000. She calculates her projected salary for the next 5 years by using the function below, what is her salary in 5 years? Round to the nearest whole dollar.
y=32000(1.12)^x
$56,395
y=32000(1.12)^5
300
5n^2+10n+20
5(n^2+2n+4)
400
What are the X-Intercepts?
y=-3(x+4)(x-5)
x=-4 and x=5
400
Use "Billy" to find the X-Intercepts.
2x^2+3x-20=0
x=5/2 and x=-4
400
Solve for x.
|8x-11|+45=6
No Solution
400
What is the rate?
y=5^x
b=1+r
5=1+r
r=4
400
3x^2-8x+4
(3x-2)(x-2)
500
What is the vertex of this equation?
y=3x^2-12x+1
(2, -11)
500
A parabola has x-intercepts of (9, 0) and (3, 0) and includes the point (4, 10). Write an equation in Factored Form.
Hint; what is "p"? what is "q"? what is "x" and "y"? FIND A then write in factored form.
y=-2(x-9)(x-3)
500
Solve for x.
6|x+1|-18=0
x=2 or x=-4
500
A certain stock was worth $42 at the beginning of the day. Every hour the stock goes down by 15%. Write this equation in
y=a(b)^x
y=42(.85)^x
500
k^2-100
(k-10)(k+10)